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22022085816 = 2333236766161
BaseRepresentation
bin10100100000100111…
…100101110010111000
32002211202102212112000
4110200213211302320
5330100123221231
614041121421000
71406504432553
oct244047456270
962752385460
1022022085816
119380991025
12432719a760
1320cc5b5913
1410cca8d69a
1588d5426e6
hex5209e5cb8

22022085816 has 128 divisors (see below), whose sum is σ = 64785830400. Its totient is φ = 6916631040.

The previous prime is 22022085803. The next prime is 22022085817. The reversal of 22022085816 is 61858022022.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22022085817) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 299776 + ... + 365936.

It is an arithmetic number, because the mean of its divisors is an integer number (506139300).

Almost surely, 222022085816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22022085816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32392915200).

22022085816 is an abundant number, since it is smaller than the sum of its proper divisors (42763744584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22022085816 is a wasteful number, since it uses less digits than its factorization.

22022085816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66266 (or 66256 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 22022085816 in words is "twenty-two billion, twenty-two million, eighty-five thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 67 69 72 92 108 134 138 184 201 207 216 268 276 402 414 536 552 603 621 804 828 1206 1242 1541 1608 1656 1809 2412 2484 3082 3618 4623 4824 4968 6164 7236 9246 12328 13869 14472 18492 27738 36984 41607 55476 66161 83214 110952 132322 166428 198483 264644 332856 396966 529288 595449 793932 1190898 1521703 1587864 1786347 2381796 3043406 3572694 4432787 4565109 4763592 6086812 7145388 8865574 9130218 12173624 13298361 13695327 14290776 17731148 18260436 26596722 27390654 35462296 36520872 39895083 41085981 53193444 54781308 79790166 82171962 101954101 106386888 109562616 119685249 159580332 164343924 203908202 239370498 305862303 319160664 328687848 407816404 478740996 611724606 815632808 917586909 957481992 1223449212 1835173818 2446898424 2752760727 3670347636 5505521454 7340695272 11011042908 22022085816